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Anna Martin
Trieste University & INFN
on behalf of the COMPASS Collaboration
Lattice QCD and hadron physics
ECT*, 14-16 January, 2014
The
nucleon structure
program at COMPASS
fixed-target
experiment
at the CERN SPS
~ 230 physicists
data-taking since 2002
approved program
at least up to 2017
COmmon
Muon and
Proton
Apparatus for
Structure and
Spectroscopy
ECT* 2014 Anna Martin
several experiments using
COMPASS physics program
installed on the M2 CERN North Area beam line
unique possibility of using different high energy beams:
µ+, µ-, p, p+, p-, K+, K- → diversified physics program
muon beams
L and T polarised p and d targets
nucleon spin structure
- gluon and quark helicities
- transversity & TMD PDFs (SIDIS)
2002 – 2012
2015 – 2017
LH target
nucleon structure
- GPDs (DVCS and HEMP)
- FF and TMD effects (SIDIS)
hadron beams
LH and nuclear targets
pion polarisability
light meson and baryon
spectroscopy
T polarised p target
nucleon (spin) structure
- TMD PDFs (Drell-Yan)
ECT* 2014 Anna Martin
a few results on
spectroscopy
ECT* 2014 Anna Martin
rich program on hadron spectroscopy, search for exotic mesons
p, K, p beams - 190 GeV : large energy transfer spectrum t
spectrometer : flat acceptance, ECALs/ HCALs, RICH id.
charged & neutral channels
Pb 2004, Ni targets 2012
LH target with p recoil detector 2008-2009
huge statistics
recently major progress on analysis
physics with hadron beams
ECT* 2014 Anna Martin
Diffractive Dissociation
• Isovector states: 𝜋𝐽, 𝑎𝐽
• Hybrids, exotics
• Scalar states as isobars
Central Production • Scalar states
• Glueballs
Photoproduction
• Polarizabilities: 𝜋
• Radiative couplings: 𝑎2, 𝜋2
physics with hadron beams
pptarget ➝ pfast + X + precoil
➝ pfast + np/K/h + precoil
pptarget ➝ X + precoil
➝ np + precoil
for a review of the
new results see
B. Ketzer and other
COMPASS talks
at Hadron2013
ECT* 2014 Anna Martin
Diffractive Dissociation
• Isovector states: 𝜋𝐽, 𝑎𝐽
• Hybrids, exotics
• Scalar states as isobars
physics with hadron beams
pptarget ➝ X + precoil
➝ np + precoil
p- p+ p-
p- p0 p0
p- η η
p- p+ p+ p- p-
ECT* 2014 Anna Martin
3p final state - kinematics
ECT* 2014 Anna Martin
Isobar Model
ECT* 2014 Anna Martin
1. PWA of angular distributions in 20 MeV mass bins and 11 t’ bins
2. Mass-dependent c2 fit to spin density matrix from step 1
total:
21 distributions x 100 mass bins x 11 t’ bins,
352 free parameters
2-D Partial Wave Analysis
new analysis method established: 2D-PWA in bins of 𝑚𝑋 and 𝑡′
• identify resonant and non-resonant contributions to partial waves
• precise extraction of resonance parameters
88 waves, well-known states as isobars
the high 2008/2009 statistics allows and demands for improved PWA methods
ECT* 2014 Anna Martin
Preliminary Results of Fit to Spin-Density Matrix
• precise determination of resonance parameters
• mass and width ranges from systematic studies with different fit models
• final result and syst. error still under study
new axial vector meson observed: 𝑎1(1420) → 𝑓0(980)𝜋
ECT* 2014 Anna Martin
COMPASS has collected large data samples with hadron beams
new analysis methods have been developed
more results to come in the near future
physics with hadron beams
ECT* 2014 Anna Martin
some results on
nucleon structure
160 GeV/c deuteron (6LiD) L & T polarisation 2002 − 2004
L polarisation 2006
160 GeV/c proton (NH3) L & T polarisation 2007
T polarisation 2010
longitudinally polarised μ+ beam
190 GeV/c proton (NH3) L polarisation 2011
ECT* 2014 Anna Martin
longitudinal spin structure
of the nucleon
ECT* 2014 Anna Martin
• direct measurement of Dg via Photon Gluon Fusion
COMPASS “flag-ship” measurement
longitudinal spin structure of the nucleon
LO
to select PGF process two methods are used:
• open-charm D meson production: charm quark pairs produced in PGF “clean” channel huge combinatorial background, low statistics
• high pT hadron pairs production: light quark pairs produced high statistics physical background; strongly model and MC dependent analysis
ECT* 2014 Anna Martin
Dg results
LO
all results are consistent
and point toward
small gluon polarisation
ECT* 2014 Anna Martin
• DIS, SIDIS on longitudinally polarised nucleons
Bjorken sum rule, Dq
longitudinal spin structure of the nucleon
ECT* 2014 Anna Martin
DIS results
new: 2007 and 2011 p data
pA1
ECT* 2014 Anna Martin
DIS results
new: 2007 and 2011 p data
pA1
ECT* 2014 Anna Martin
SIDIS results
ECT* 2014 Anna Martin
SIDIS results
large statistical uncertainties due to FFs
precise measurements of multiplicities are needed
ECT* 2014 Anna Martin
from 2006 6LiD data
isoscalar target
hadron multiplicities
proton: from SIDIS
on LH2, 2016-2017
ECT* 2014 Anna Martin
COMPASS has produced diversified, high precision results
in DIS and SIDIS down to x ~ 0.003
important contributions came and are coming from
HERMES, JLab and RHIC experiments
longitudinal spin structure of the nucleon
after more than 30 years the spin structure of the nucleon is understood
only qualitatively
a fast moving nucleon is a 3-dimensional complicated object
with nonnegligible orbital angular momentum contribution to its spin
unmeasured DVCS
ECT* 2014 Anna Martin
transverse spin and momentum
structure of the nucleon
q
ECT* 2014 Anna Martin
why SIDIS
taking into account the quark intrinsic transverse momentum kT , at leading order
8 TMD PDFs are needed for a full description of the nucleon structure
new objects,
giving the correlations between
spin of the nucleon,
spin of the quark,
transverse momentum of the
quark
today the only existing
informations come from
SIDIS, which give access to
all of them
ECT* 2014 Anna Martin
A B
acc
he
tta e
t al., 2
00
6
cross-section
11T Dg
11T Hh
11 Hh
11 Hh
11T Df
11LHh
why SIDIS
18 structure functions
14 azimuthal modulations
all measured at COMPASS
on d, or on p and d
ECT* 2014 Anna Martin
transversity and the TMD PDFs are new objects,
their properties have to be studied, the different effects disentangled
to be measured in a kinematical range as wide as possible
• large W
current jet and target fragmentation well separated
• small x
PDF parameterizations and their 1st moments
• large Q2 coverage
higher twist effects
why COMPASS
the high energy beam available at COMPASS ensures the
hardness of the process
ECT* 2014 Anna Martin
high x, high Q2 :
luminosity limit
pμ = 160 GeV/c COMPASS
DIS event selection: Q2 > 1 (GeV/c)2
0.1 < y < 0.9
W > 5 GeV/c2
h± selection: pth > 0.1 GeV/c
z > 0.2 + low y low z
statistical error (raw asymmetry corrected for f)
6 months of data taking (June-November 2010)
complementary to
HERMES, JLab, JLab12
ECT* 2014 Anna Martin
three distribution functions are necessary to describe
the structure of the nucleon at LO in the collinear case:
q(x) : number density or
unpolarised distribution
DTq(x) = q- q : transverse polarization or
transversity distribution
Dq(x) = q- q : longitudinal polarization or
helicity distribution
ALL OF EQUAL IMPORTANCE !
(x)fq
1
(x)gq
1
(x)hq
1
TRANSVERSITY
one of the main goals of COMPASS
ECT* 2014 Anna Martin
DTq(x) = q- q : transverse polarization or
transversity distribution (x)hq
1
TRANSVERSITY
one of the main goals of COMPASS
it has different properties than helicity
tensor charge of the N
it survives after integration over the
intrinsic transverse momentum
it is chiral-odd, more difficult to measure than helicity (DIS)
SIDIS off transversely polarised nucleons:
q q
q
1
2
q
q 1
2
q
Dfe
Heq
“Collins FF”
Belle Babar CollA
q
1h
ECT* 2014 Anna Martin
• clear non-zero effects first seen by HERMES on p in 2005
• ~ zero asymmetries measured by COMPASS on d
deuteron deuteron
2002-2004 NPB 765 (2007) 31, PLB 673 (2009) 127 2002-2004 NPB 765 (2007) 31, PLB 673 (2009) 127
deuteron
2002-2004 NPB 765 (2007) 31, PLB 673 (2009) 127
d
1
u
1 hh - unf
1
fav
1 HH -
still only
measurements on d
JLab : n (He3)
Collins asymmetry
ECT* 2014 Anna Martin
• clear non-zero effects first seen by HERMES on p in 2005
• ~ zero asymmetries measured by COMPASS on d
Collins asymmetry
PLB 692 (2010) 240 PLB 717 (2012) 376 PLB 692 (2010) 240 PLB 717 (2012) 376 PLB 692 (2010) 240 PLB 717 (2012) 376
• COMPASS results on proton target (2007, 2010 data)
ECT* 2014 Anna Martin
• clear non-zero effects first seen by HERMES on p in 2005
• ~ zero asymmetries measured by COMPASS on d
Collins asymmetry
PLB 692 (2010) 240 PLB 717 (2012) 376 PLB 692 (2010) 240 PLB 717 (2012) 376 PLB 692 (2010) 240 PLB 717 (2012) 376
• COMPASS results on proton target (2007, 2010 data)
good agreement with HERMES
in the x overlap region
same for pions
~ 3.8
~ 2.4
ECT* 2014 Anna Martin
Transversity
transversity is different from zero and
can be measured in SIDIS thanks to the “Collins effect”
M. Anselmino et al., PRD87 (2013) 094019
simultaneous fit of
HERMES p, COMPASS p & d, and Belle data
very good χ2
A12 A0 2009
Bacchetta et al, 2012
model
calculations
more data
large and small x, p & d / n, PID
are needed
ECT* 2014 Anna Martin
q q
q
1
2
q
q 1
2
q
Dfe
Heq
dihadron asymmetry
independent channel to access transversity in SIDIS on
transversely polarised nucleons
Collins
“Collins FF”
Belle Babar q
1h
q
2h
q
q
1
2
q
q q
2
q
Dfe
He
“Interference / Di-hadron FF”
Belle Babar
“spin independent di-hadron FF”
being measured at COMPASS
CollA
RSA
q
1h
dihadron
ECT* 2014 Anna Martin
dihadron multiplicities in SIDIS dihadron multiplicities in SIDIS hadron pair multiplicities
in Minv , z=z1+z2 , Q2 bins
SPIN2012
ECT* 2014 Anna Martin
all d data: asymmetries compatible with zero PLB 713 (2012) 10
dihadron asymmetry
high statistics over a wide x range
clear signal
all p data PLB 713 (2012) 10 & Transversity 2011
proton
preliminary h+ h-
ECT* 2014 Anna Martin
dihadron asymmetry and Collins asymmetries
“intriguing” results
• Collins asymmetry for h+ and for h-
“mirror symmetry” preliminary
• dihadron asymmetry vs
Collins asymmetries
only somewhat larger
further investigation:
correlations between the relevant
azimuthal angles and the
corresponding asymmetries
information on the nature of the
fragmentation of transv polarised q
Collins vs 2h interference mechanism
F. Bradamante , Como2013, D-SPIN2013
conclusion:
hints for a common physical origin for the Collins mechanism
and the polarised dihadron fragmentation function
published
ECT* 2014 Anna Martin
Sivers PDF
the most famous of the TMD PDFs
correlation between the transverse spin of the nucleon
and the transverse momentum of the quark
sensitive to orbital angular momentum
T-odd
SIDIS on transversely polarised nucleons
Sivers asymmetry
q q
q
1
2
q
q q
2
q
Dfe
De q
1
TfSivA
ECT* 2014 Anna Martin
Sivers asymmetry
• strong signal seen by HERMES in p+ production on p in 2005
• no signal seen by COMPASS on d u ~ - d
2007, 2010 PLB 692 (2010) 240 PLB 717 (2012) 383
• COMPASS results on proton:
clear signal for h+
down to low x, in the previously unmeasured region
in the overlap x range, agreement with HERMES, but
clear indication that the strength decreases:
Q2 evolution
ECT* 2014 Anna Martin
Sivers PDF
• from SIDIS, clear evidence that it is different from zero
• all the existing data can be well described in the present
theoretical framework
being T-odd, it should be process-dependent
it is expected to change sign if measured in Drell-Yan
)()( 11 DYfSIDISf TT -
future measurements of Drell-Yan at COMPASS
SIDIS
ECT* 2014 Anna Martin
Boer-Mulders PDF
measured by COMPASS using combined data taken with
oppositely polarised 6LiD target
twist3 + …
Boer-Mulders PDF x Collins FF
+ Cahn effect (twist 4, 1/Q2)
Boer-Mulders PDF
Cahn effect, kT
• correlation between the transverse spin and
the transverse momentum of the quarks
in unpolarised nucleons
• T-odd
• can be accessed in SIDIS on unpolarised nucleons
ECT* 2014 Anna Martin
cos 2
• large signals
at small x
cos
• large signals
over all
the x range
SPIN2010
different for h+ and h-
strong unexpected dependence on x, z, PTh
unpolarised deuteron - azimuthal asymmetries
sys ≈ 2 ∙ stat
ECT* 2014 Anna Martin
unpolarised deuteron - azimuthal asymmetries
sys ≈
2 ∙ stat
x
pT
preliminary
h-
h+
UU
hA 2cos
ECT* 2014 Anna Martin
unpolarised deuteron
hadron multiplicities vs pT2
0.0052
1.11
0.0148
1.92
0.0148
1.22
0.0099
1.76
0.0099
1.22
0.0070
1.48
0.0070
1.14
0.0213
2.94
0.0213
1.92
0.0213
1.23
0.0150
2.90
0.0216
4.07
0.0316
1.34
0.0318
1.92
0.0319
2.95
0.0323
4.47
0.0447
1.93
0.0533
2.95
0.0536
4.57
0.0550
7.36
0.0932
7.57
0.0921
4.62
Q2
x
‹ x ›
‹ Q2 ›
z bins:
0.20÷0.25
0.30÷0.35
0.40÷0.50
Eur.Phys.J.
C73 (2013) 2531
ECT* 2014 Anna Martin
nucleon structure
future COMPASS contribution
• the analysis of the SIDIS is not over
• further investigation of single hadron and dihadron asymmetries
• multidimensional analysis of transverse spin asymmetries
• more d and p results on longitudinal spin azimuthal asymmetries
• more on azimuthal asymmetries and multiplicities from unpolarised d data (PID)
• ….
new results coming soon
• future measurements
ECT* 2014 Anna Martin
GPDs from DVCS and HEMP
2016 - 2017
ECT* 2014 Anna Martin
GPD program at COMPASS
• transverse target spin asymmetry for
exclusive ρ0 production on d and p
• DVCS and Hard Exclusive Meson Production
with LH2 target and +, - 160 GeV beams
to constrain GPD H
to study the transverse proton structure
data taking 2016-2017
2002-2004, 2007, 2010 data
test runs
2009,2012
NPB 865 (2012) 1, CERN-PH-EP/2013-191
ECT* 2014 Anna Martin B
kinematic domain (Q2, xB) for DVCS
fixed target
collider
explore the
intermediate xBj region
uncovered region between
ZEUS+H1 & HERMES + JLab
before new colliders may be
available
COMPASS unique facility
CERN muon beam
• 100 - 190 GeV
• μ+ and μ- available
• 80% Polarisation
• 4.6 108 +
Lumi= 1032 cm-2 s-1
with 2.5m LH2 target
ECT* 2014 Anna Martin
experimental apparatus
SM1
SM2
ECAL1
ECAL2
ECAL0
CAMERA
new equipements
• 2.5m LH2 target
• 4m ToF Barrel CAMERA
• ECAL0
• tracking detectors
ECT* 2014 Anna Martin
CAMERA recoil proton detector
surrounding the 2.5m long
LH2 target
ECAL0
ECAL2
ECAL1
DVCS test run 2012
ECT* 2014 Anna Martin
SIDIS in parallel to DVCS
2016 - 2017
q
ECT* 2014 Anna Martin
SIDIS
on the 2.5 m long LH2 target with the 160 GeV/c muon beam
taking advantage of the spectrometer consolidation and
upgrades which are ongoing trackers, RICH
• hadron multiplicities vs z FFs s quark PDFs
• dihadron multiplicities transversity
• TMDs
hadron multiplicities vs pt2 kT
azimuthal asymmetries BM PDF
all relevant measurements
ECT* 2014 Anna Martin
polarised Drell – Yan 2015
test run in 2009
ECT* 2014 Anna Martin
Drell - Yan
complementary to SIDIS
𝝅−𝒑 → 𝝁+𝝁−𝑿
q
cross-sections:
SIDIS: convolution of a TMD PDFs with FFs
DY: convolution of 2 TMD PDFs
ECT* 2014 Anna Martin
Drell – Yan at COMPASS
𝝅−𝒑↑ → 𝝁+𝝁−𝑿
aim: test for the first time the expected
change of sign of the Sivers function
)()( 11 DYfSIDISf TT -
never measured clearly positive
transversely polarised p target
SIDIS
ECT* 2014 Anna Martin
polarised Drell - Yan
acceptance
statistical errors
24 9 /M GeV c
𝝅−𝒑↑ → 𝝁+𝝁−𝑿
ECT* 2014 Anna Martin
polarised Drell - Yan 𝝅−𝒑↑ → 𝝁+𝝁−𝑿
overlap of the x-Q2 region covered in the two processes overlap
consistent extraction of TMD PDFs
Q2 vs x phase space at COMPASS
190 GeV π
ECT* 2014 Anna Martin
COMPASS
great impact results
on nucleon structure and spectroscopy
have already been obtained and
new ones are expected in the next few years
more can be done later on - from 2018
first ideas
submitted to European Strategy Preparatory Group, 2012
Thank you